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Finding the Fourth Proportional to 75,176,000.90, 105,019,653.10 and 75,176,000.90

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Solution

The fourth proportional to 75,176,000.90, 105,019,653.10 and 75,176,000.90 is: 105,019,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,176,000.90 : 105,019,653.10 = 75,176,000.90 : x
  2. Step 2: Convert to fraction form
    75,176,000.90/105,019,653.10 = 75,176,000.90/x
  3. Step 3: Cross multiply
    75,176,000.90x = 105,019,653.10 × 75,176,000.90
  4. Step 4: Simplify right side
    75,176,000.90x = 7,894,957,535,963,288
  5. Step 5: Solve for x
    x = 7,894,957,535,963,288/75,176,000.90
  6. Step 6: Final answer
    x = 105,019,653.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.